Due to their complex geological formation, the carbonate rocks have unique characteristics that form their stucture. Revealing as a concern for those who are engaged in oil recovery study from these reservoirs, this geological formation is composed of rocks classified as sedimented, which are formed by the deposition and cementation of sediments and bodies of water. Due to their complex formation, these rocks have matrices composed of diverse heterogeneity generating problems related to the variation of their porosity according to the section being analyzed. Some of the problems that arise when the flow in these rocks is studied are related to the modeling of the behavior of this flow, because in the same rock are found porous media and voids. Due to this issue, creating a working methodology to deal with the modeling of this flow is not a trivial task. By attacking this problem on a smaller scale, the particularity equivalent to each portion of an array of a carbonate rock can be modeled using more sophisticated methods. For this work, using a finite element method, a methodology was developed for the modeling of this flow through the formulation of the Brinkman flow equation. For the calculation of the average permeability of these segments the Darcy law for porous media was used.